Theorems · Theorem · linear algebra
Matrix.submonoidCenter_eq_scalar_map
∀ {n : Type u_3} {α : Type u_7} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : Semiring α],
Submonoid.center (Matrix n n α) = Submonoid.map (Matrix.scalar n) (Submonoid.center α)- Defined in
- Mathlib.Data.Matrix.Basis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeSemiring
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Submonoidstatement · cited by 3,086
- SetLike.coe_injectiveproof · cited by 374
- Submonoid.mapstatement and proof · cited by 190
- Matrix.scalarstatement and proof · cited by 62
- Submonoid.centerstatement and proof · cited by 24
- Matrix.center_eq_scalar_imageproof · cited by 6
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